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Finding the Fourth Proportional to 54,593.82, 81,910.76 and 23,011.83

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Solution

The fourth proportional to 54,593.82, 81,910.76 and 23,011.83 is: 34,526.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,593.82 : 81,910.76 = 23,011.83 : x
  2. Step 2: Convert to fraction form
    54,593.82/81,910.76 = 23,011.83/x
  3. Step 3: Cross multiply
    54,593.82x = 81,910.76 × 23,011.83
  4. Step 4: Simplify right side
    54,593.82x = 1,884,916,369.23
  5. Step 5: Solve for x
    x = 1,884,916,369.23/54,593.82
  6. Step 6: Final answer
    x = 34,526.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.